Algebra Examples

$\frac{\frac{9}{7 x^{2}}}{\frac{5}{3 x^{3}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{9}{7 x^{2}} \cdot \frac{3 x^{3}}{5}$

Step 2

Combine.

$\frac{9 (3 x^{3})}{7 x^{2} \cdot 5}$

Step 3

Cancel the common factor of $x^{3}$ and $x^{2}$ .

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Step 3.1

Factor $x^{2}$ out of $9 (3 x^{3})$ .

$\frac{x^{2} (9 (3 x))}{7 x^{2} \cdot 5}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $x^{2}$ out of $7 x^{2} \cdot 5$ .

$\frac{x^{2} (9 (3 x))}{x^{2} (7 \cdot 5)}$

Step 3.2.2

Cancel the common factor.

$\frac{x^{2} (9 (3 x))}{x^{2} (7 \cdot 5)}$

Step 3.2.3

Rewrite the expression.

$\frac{9 (3 x)}{7 \cdot 5}$

$\frac{9 (3 x)}{7 \cdot 5}$

$\frac{9 (3 x)}{7 \cdot 5}$

Step 4

Multiply.

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Step 4.1

Multiply $9$ by $3$ .

$\frac{27 x}{7 \cdot 5}$

Step 4.2

Multiply $7$ by $5$ .

$\frac{27 x}{35}$

$\frac{27 x}{35}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$